October 13, 2015

Homework Help: math-optimal diameterand height

Posted by Alicia on Thursday, November 18, 2010 at 8:39am.

A cylindrical oil-storage tank is to be constructed for which the following costs apply:
cost per square meter metal for ides $30.00
combined costs of concrete base and metal bottom $37.50(cost per square meter)

top 7.50 (cost per square meter)

The tank is to be constructed with dimensions such that the cost is minimum for whatever capacity is selected.
a) One possible approach to selecting the capacity is to build the tank large enough for an additional cubic meter of capacity to cost $8.(note that this does not mean $8 per cubic meter average for the entire tank.) what is the optimal diameter and optimal height of the tank?

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